## Slant Height of Truncated Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
hSlant = sqrt((rBase-rTop)^2+h^2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Slant Height of Truncated Cone - (Measured in Meter) - Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.
Base Radius of Truncated Cone - (Measured in Meter) - Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.
Top Radius of Truncated Cone - (Measured in Meter) - Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.
Height of Truncated Cone - (Measured in Meter) - Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.
STEP 1: Convert Input(s) to Base Unit
Base Radius of Truncated Cone: 5 Meter --> 5 Meter No Conversion Required
Top Radius of Truncated Cone: 2 Meter --> 2 Meter No Conversion Required
Height of Truncated Cone: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hSlant = sqrt((rBase-rTop)^2+h^2) --> sqrt((5-2)^2+7^2)
Evaluating ... ...
hSlant = 7.61577310586391
STEP 3: Convert Result to Output's Unit
7.61577310586391 Meter --> No Conversion Required
7.61577310586391 7.615773 Meter <-- Slant Height of Truncated Cone
(Calculation completed in 00.006 seconds)
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## Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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## < 4 Slant Height of Truncated Cone Calculators

Slant Height of Truncated Cone given Volume
Slant Height of Truncated Cone = sqrt(((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)
Slant Height of Truncated Cone given Total Surface Area
Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
Slant Height of Truncated Cone given Curved Surface Area
Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
Slant Height of Truncated Cone
Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)

## Slant Height of Truncated Cone Formula

Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
hSlant = sqrt((rBase-rTop)^2+h^2)

## What is a Truncated Cone?

A Truncated Cone is basically a circular cone of which top is cut or 'truncated' by a horizontal plane. Or in another way, a Truncated Cone is formed when a smaller circular cone is cut from the top of a larger circular cone. The Truncated has two circular surfaces - one on top and another on the bottom, and a lateral curved surface. The slant height is the shortest distance between the two circles on the lateral surface, which is the surface without the circles.

## How to Calculate Slant Height of Truncated Cone?

Slant Height of Truncated Cone calculator uses Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2) to calculate the Slant Height of Truncated Cone, The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone. Slant Height of Truncated Cone is denoted by hSlant symbol.

How to calculate Slant Height of Truncated Cone using this online calculator? To use this online calculator for Slant Height of Truncated Cone, enter Base Radius of Truncated Cone (rBase), Top Radius of Truncated Cone (rTop) & Height of Truncated Cone (h) and hit the calculate button. Here is how the Slant Height of Truncated Cone calculation can be explained with given input values -> 7.615773 = sqrt((5-2)^2+7^2).

### FAQ

What is Slant Height of Truncated Cone?
The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone and is represented as hSlant = sqrt((rBase-rTop)^2+h^2) or Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2). Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone, Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone & Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.
How to calculate Slant Height of Truncated Cone?
The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone is calculated using Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2). To calculate Slant Height of Truncated Cone, you need Base Radius of Truncated Cone (rBase), Top Radius of Truncated Cone (rTop) & Height of Truncated Cone (h). With our tool, you need to enter the respective value for Base Radius of Truncated Cone, Top Radius of Truncated Cone & Height of Truncated Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Slant Height of Truncated Cone?
In this formula, Slant Height of Truncated Cone uses Base Radius of Truncated Cone, Top Radius of Truncated Cone & Height of Truncated Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
• Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
• Slant Height of Truncated Cone = sqrt(((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2) Let Others Know